Continuous Time Fourier Series of Cosine signal
This program is used to calculate Continuous Time Fourier Series Spectral Coefficients of a periodic Cosine signal
//Continuous Time Fourier Series Spectral Coefficients of
//a periodic Cosine signal x(t) = cos(Wot)
clear;
close;
clc;
t
= 0:0.01:1;
T
= 1;
Wo
= 2*%pi/T
;
xt
= cos(Wo
*t
);
for k
=0:5
C
(k
+1,:) = exp(-sqrt(-1)*Wo
*t.
*k
);
a
(k
+1) = xt
*C
(k
+1,:)'/length(t
); //fourier series is done
if(abs(a
(k
+1))<=0.01)
a
(k
+1)=0;
end
end
a
=a
';
ak
= [a
($
:-1:1),a
(2:$
)];
disp(ak
,'Continuous Time Fourier Series Coefficients are:')
//Result
//Continuous Time Fourier Series Coefficients are:
// column 1 to 11
// 0 0 0 0 0.5049505+1.010D-18i 0 0.5049505-1.010D-18i 0 0 0 0
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posted by Senthilkumar R